A ladder 10 m long reaches a window 8 m above the ground. The distance of the foot of the ladder from the base of the wall is ?
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Step-by-step explanation:
Applying "Pythagoras Property"
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✬ Distance = 6 m ✬
Step-by-step explanation:
Given:
- Length of ladder is 10 m.
- Length of window is 8 m.
To Find:
- Distance of foot of ladder from base of wall ?
Solution: Let AC be a ladder , AB be a window and BC be the distance of between foot of ladder and base of wall.
Now in right angled triangle we have
- AB = perpendicular (8 m)
- AC = hypotenuse (10 m)
- BC = base
- ∠B = 90°
Applying Pythagoras Theorem in ∆ABC
★ H² = Perpendicular² + Base² ★
10² = 8² + b²
10 × 10 = 8 × 8 + b²
100 = 64 + b²
100 – 64 = b²
36 = b²
√36 = b
√6 × 6 = b
6 = b
Hence, the distance between foot of ladder from base of wall is 6 m.
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amitkumar44481:
Perfect :-)
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